Solve the system of equations by substitution.

Question

x = –4y
x + 5y = 2
(1 point)
Responses

(–8, 2)
(–8, 2)

(8, –2)
(8, –2)

(two-ninths, –eight-ninths)
( Image with alt text: two-ninths , – Image with alt text: eight-ninths )

(–12, 3)
(–12, 3)

Answer 1

To solve the system of equations by substitution, we can start by substituting the value of x from the first equation into the second equation:

x + 5y = 2
(-4y) + 5y = 2
-y = 2
y = -2

Now that we have found the value of y, we can substitute it back into the first equation to find the value of x:

x = -4y
x = -4(-2)
x = 8

Therefore, the solution to the system of equations is (8, -2).